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Finding the Third Proportional to 42,445 and 65,514

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Solution

The third proportional to 42,445 and 65,514 is: 101,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,445 : 65,514 = 65,514 : x
  2. Step 2: Convert to fraction form
    42,445/65,514 = 65,514/x
  3. Step 3: Cross multiply
    42,445x = 65,514 × 65,514
  4. Step 4: Simplify right side
    42,445x = 4,292,084,196
  5. Step 5: Solve for x
    x = 4,292,084,196/42,445
  6. Step 6: Final answer
    x = 101,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.